Answer: The answer is 
Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.
Let, AC = 3x and CM = 4x.
In the right-angled triangle ACM, we have

Now,

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.
So,

Comparing equations (A) and (B), we have

Thus,

Answer:
x=3
y=7
Step-by-step explanation:
solve for the first variable in one of the equations, then substitute the result into the other equation.
When using a calculator I got: 26996.736
However since it's people you should round to: 26997.
If it's a hearty soup that is served as the meal itself, and served with bread or crackers and salad, then you can figure about 2 cups per person. Since there are 16 cups to a gallon, that would give you 8 servings. If it's a lighter soup that is served as part of a 5 - 7 course meal, then you can figure about 1 cup person, which would be 16 servings.
6.43 rounded to the nearest tenth is 6.40
The place after the decimal is the tenths place. We rely on the value of the hundredths place to know whether we round it up or we round it down to the nearest tenths. If the number is 5 and above, we round it up. If the number is below 5, we round it down.
3 is below 5 therefore from 6.43 we round it down to 6.40